The invention discloses an inverse kinematics solution method for a six-degree-of-freedom serial robot. The inverse kinematics solution method comprises the steps of: establishing a connecting rod coordinate system and setting variables theta 1, theta 2, theta 3, theta 4, theta 5 and theta 6; setting an initial configuration; solving theta 4, theta 5 and theta 6 by utilizing a geometric method; and eliminating theta 1, theta 2 and theta 3 by utilizing an algebra elimination method and introducing a tabu search algorithm when solving a non-orthogonal spheroid or the terminal structure of the non-orthogonal spheroid, thereby solving out corresponding numerical solutions. The inverse kinematics solution method is smart in conception and utilizes the geometric method and the algebra elimination method for comprehensive solution, thereby avoiding the problem that the rank of an equation determinant of coefficient is smaller than order caused by arbitrary establishing of equations and correctly obtaining the analytic solutions of six axes efficiently; and for complex-structure trigonometric function relationship, a linear equation in two unknowns can be effectively transformed to a linear equation with one unknown by the elimination method in the use of the geometric method, and therefore a unique corresponding analytic solution is obtained.